Influence of chiral asymmetry on phase structure of the two-color quark matter

Abstract

In this paper the influence of chiral chemical potential ${\mu }_5$ on the phenomenon of diquark condensation and phase structure of dense quark matter altogether is contemplated in the framework of effective two-color and two-flavor Nambu--Jona-Lasinio model. We show that the duality relations, found ${\mu }_5=0$, are also valid for any value of ${\mu }_5\ne 0$. Hence the dualities seem to be a real fundamental feature of the phase diagram of two color quark matter, and besides they are a very powerful tool of studying the phase structure. In terms of dualities and the influence on the phase diagram chiral imbalance ${\mu }_5$ stands alone from other chemical potentials. Two regimes in the phase diagram could be discerned, the first one, rather small or moderate values of chemical potentials ${\mu }_B$, ${\mu }_I$ and ${\mu }_{I5}$, where the picture is rather concise and elegant: each of the above phenomena is in one-to-one correspondence with some chemical potential (${\mu }_{I5}$ induces chiral symmetry breaking, ${\mu }_I$ propels charged pion condensation and ${\mu }_B$ leads to diquark condensation). In this regime chiral chemical potential ${\mu }_5$ does not break this correspondence, it has a property of being universal catalyzer, i.e. it {\it catalyzes/enhances} all the phenomena on equal footing. The feature of chiral imbalance ${\mu }_5$ to catalyze chiral symmetry breaking phenomenon was known before but its catalytic properties appeared to be more universal and it can catalyze also diquark and charged pion condensation. These happen due to the dual properties. In the second regime, when several chemical potentials reach rather large values, one could observe a rather complicated and rich phase structure, and ${\mu }_5$ can be a factor that not so much catalyzes as {\it triggers} rather peculiar phases. For example, it can lead to the formation of diquark condensation at zero baryon chemical potential.

arXiv commenttypos corrected

References in corpus (69)

• The Chiral Magnetic Effect
• Color superconductivity in dense quark matter
• NJL-model analysis of dense quark matter
• The phase diagram of dense QCD
• The Chiral Magnetic Effect and Anomaly-Induced Transport
• "Strongly interacting matter in magnetic fields": an overview
• Anomalous Axion Interactions and Topological Currents in Dense Matter
• QCD-like Theories at Finite Baryon Density
• On two-color QCD with baryon chemical potential
• Lattice QCD at Finite Density -- An introductory review
• Pion Superfluidity and Meson Properties at Finite Isospin Density
• QCD-like Theories at Finite Baryon and Isospin Density
• Two lectures on color superconductivity
• Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop
• Real-time dynamics of the Chiral Magnetic Effect
• Dynamical symmetry breaking in curved spacetime -review-
• Thermodynamics of two-colour QCD and the Nambu Jona-Lasinio model
• Electric-current Susceptibility and the Chiral Magnetic Effect
• Pion condensation in electrically neutral cold matter with finite baryon density
• Spontaneous generation of local CP violation and inverse magnetic catalysis
• Pion condensation in quark matter with finite baryon density
• Color Superconductivity at Moderate Baryon Density
• Hot Quark Matter with an Axial Chemical Potential
• Meson condensation
• Scrutinizing the pion condensed phase
• Study of QCD Phase Diagram with Non-Zero Chiral Chemical Potential
• Phase diagram of chirally imbalanced QCD matter
• New class of compact stars: Pion stars
• Study of the phase diagram of dense two-color QCD within lattice simulation
• Two-color quark matter: U(1)_A restoration, superfluidity, and quarkyonic phase
• Catalysis of Dynamical Chiral Symmetry Breaking by Chiral Chemical Potential
• The fate of pion condensation in quark matter: from the chiral limit to the physical pion mass
• Pion condensation and phase diagram in the Polyakov-loop quark-meson model
• The effect of the chiral chemical potential on the chiral phase transition in the NJL model with different regularization schemes
• Phase diagram of two-color quark matter at nonzero baryon and isospin density
• Effects of chiral imbalance and magnetic field on pion superfluidity and color superconductivity
• Quark Matter in a Parallel Electric and Magnetic Field Background: Chiral Phase Transition and Equilibration of Chiral Density
• Inhomogeneous charged pion condensation phenomenon in the NJL${}_2$ model with quark number and isospin chemical potentials
• Linear sigma model at finite density in the 1/N expansion to next-to-leading order
• Thermodynamics of quark matter with a chiral imbalance
• Diquark condensation in dense adjoint matter
• Dualities in dense quark matter with isospin, chiral and chiral isospin imbalance in the framework of the large-N${}_c$ limit of the NJL${}_4$ model
• Two-flavor chiral perturbation theory at nonzero isospin: Pion condensation at zero temperature
• Critical Temperature of Chiral Symmetry Restoration for Quark Matter with a Chiral Chemical Potential
• Chiral imbalanced hot and dense quark matter: NJL analysis at the physical point and comparison with lattice QCD
• BEC-BCS crossover in a cold and magnetized two color NJL model
• Cold QCD at finite isospin density: confronting effective models with recent lattice data
• Dense baryon matter with isospin and chiral imbalance in the framework of NJL${}_4$ model at large $N_c$: duality between chiral symmetry breaking and charged pion condensation
• Finite-size effects in pion condensation phenomena of dense baryonic matter in the NJL${}_2$ model
• Intriguing aspects of meson condensation
• Dualities and inhomogeneous phases in dense quark matter with chiral and isospin imbalances in framework of effective model
• Charged pion condensation and duality in dense and hot chirally and isospin asymmetric quark matter in the framework of NJL${}_2$ model
• Quark-Hadron Matter at Finite Temperature and Density in a Two-Color PNJL model
• The dual properties of chiral and isospin asymmetric dense quark matter formed of two-color quarks
• Thermodynamics and phase diagrams of Polyakov-loop extended chiral models
• Effects of Dense Quark Matter on Gluon Propagators in Lattice QC${}_2$D
• Meson Screening Mass in a Strongly Coupled Pion Superfluid
• Hot QCD at finite isospin density: confronting SU(3) Nambu-Jona-Lasinio model with recent lattice data
• Charged pion condensation in dense quark matter: Nambu--Jona-Lasinio model study
• Catalysis of Dynamical Chiral Symmetry Breaking by Chiral Chemical Potential in Dirac semimetals
• Topological susceptibility, divergent chiral density and phase diagram of chirally imbalanced QCD medium at finite temperature
• Chiral perturbation theory for nonzero chiral imbalance
• Finite Density Two Color Chiral Perturbation Theory Revisited
• Chiral medium produced by parallel electric and magnetic fields
• Finite-Density Massless Two-Color QCD at Isospin Roberge-Weiss Point and 't Hooft Anomaly
• Experimental investigation of the Landau-Pomeranchuk-Migdal effect in low-Z targets
• Dense quark matter with chiral and isospin imbalance: NJL-model consideration
• The phase structure of two color QCD and charged pion condensation phenomenon
• Multicomponent superfluidity in two-color QCD at finite density at next-to-leading order

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• Probing the hadron mass spectrum in dense two-color QCD with the linear sigma model
• Deconfinement and chiral phase transitions in quark matter with chiral imbalance
• Describing the speed of sound peak of isospin-asymmetric cold strongly interacting matter using effective models
• Chiral effective model of cold and dense two-color QCD: The linear sigma model approach
• Speed of sound peak in isospin QCD: a natural prediction of the Medium Separation Scheme
• Speed of sound peak in two-color dense QCD: confronting effective models with lattice data